Answer:
1. y=3/2x + 12 2. y= 1/4x + 8
Step-by-step explanation:
Use the slope formula to get the slope for each line. Then plug either of the x and y coordinates into the formula y= mx + b and also plug in the slope that you just found and solve for b.
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer:
C.76
Step-by-step explanation:
2x= 19
x= 9.5
8x =?
8(9.5)= ?
76= ?
Answer:
V=3926.99 liters
Step-by-step explanation:
cylindrical Is half full of oil The cylinder Has a base radius of 100 cm The height of the cylinder 250cm 1 litres = 1000cm3 How many litres of oil are in the tank?
Volume of a cylinder can be calculated using below formula
V=π r^2 h
Where r= radius
h= height
radius = 100 cm
h=250cm
But the cylinder is half filled, then the formula becomes
V=(π r^2 h) × 1/2
Then substitute the values we have
V=( π × 100^2 ×250) × 1/2
V=3926990 cm^3
But 1 litres = 1000cm3
Then V=(3926990 cm^3)/ 1000
V=3926.99 liters
Answer:
150+12x=630
Step-by-step explanation:
The x represents the amount of months and it is multiplied by 12 because each month costs 12$. 150 have to be paid up front and this added to the monthly fee is equal to 630$